Problem Solving Multiple Choice Topic Test


Problem Solving Multiple Choice Topic Test

Test your understanding of problem solving with this ten question, self-marking multiple choice exercise.

Shape (3D) Algebra Angles Arithmetic
Averages Decimals Fractions Mensuration Money Number
Percentages Probability Problem Solving Ratio Sequences Shape
Time Indices Negatives Geometry Other Topics Pentransum

Here are 10 Problem Solving multiple choice questions written by people from around the world while using the main Pentransum activity. You can earn a Transum Trophy for answering at least 9 of them correctly.

1. A frog is in a well 12m deep. Every time the frog jumps 2m, it falls down 1 m. how many leaps does the frog have to make to reach to the surface?

Correct Wrong

This question was suggested by Yash, United Arab Emirates

2. I thought of a number, divided it by 6, added 52, doubled it and subtracted five. I ended up with 111. What number did I start with?

Correct Wrong

This question was suggested by Terry, Yorkshire

3. If Dan and Don share $48 in the ratio 5:1 how much more than Don will Dan receive?

Correct Wrong

4. How many buses will be needed to hold 476 people when a bus can hold 52 people.

Correct Wrong

This question was suggested by Finn Meyer, Christian-von-Dohm-Gymnasium Goslar, Germany

5. If Bob has 44p and Bill has 22p how much does Bob have to give Bill so they have the same amount of money?

Correct Wrong

This question was suggested by Sophie Brown, Newcastle

6. Milly likes her coffee made with water and milk in the ratio 4:5. During a week Milly will drink a total of four and a half litres of coffee. How much more milk than water is in the coffee she drinks.

Correct Wrong

7. If goldilocks and the three little pigs sat down at a table, how many legs would there be?

Correct Wrong

This question was suggested by Flossie Roberts, Portland, Dorset

8. A snail climbs up a 12m wall. It climbs 3m each day, but slips back 2m each night. On what day will it reach the top of the wall?

Correct Wrong

This question was suggested by Gillian, New Zealand

9. Mr and Mrs Thomson have six children and the sum of their ages is 63. What was the sum of the ages of the Thomson children 7 years ago?

Correct Wrong

This question was suggested by Caitlyn Dawbin,

10. I'm thinking of a number: I add 6, divide by 4 and then times it by 5 and my answer is 35, what was my original number?

Correct Wrong

This question was suggested by Rebecca and Michelle, Leeds

Please note that unlike other Transum online exercises, the check button for this multiple choice quiz can only be clicked once when you have answered all ten questions. Check your answers carefully before clicking the button below. You teed to get at least 9 questions correct to be awarded a Transum Trophy.


Other Problem Solving Activities


Try your best to answer the questions above. Choose one of the five possible answers. When you have finished click the "check" button. If you have any questions wrong, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file. You can also claim a 'Transum Trophy' by completing this quiz.

This web site contains hundreds of free mathematical activities for teachers and students. Click here to go to the main page which links to all of the resources available.

Please contact us if you have any suggestions or Questions.

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Comment recorded on the 19 October 'Starter of the Day' page by E Pollard, Huddersfield:

"I used this with my bottom set in year 9. To engage them I used their name and favorite football team (or pop group) instead of the school name. For homework, I asked each student to find a definition for the key words they had been given (once they had fun trying to guess the answer) and they presented their findings to the rest of the class the following day. They felt really special because the key words came from their own personal information."

Comment recorded on the 12 July 'Starter of the Day' page by Miss J Key, Farlingaye High School, Suffolk:

"Thanks very much for this one. We developed it into a whole lesson and I borrowed some hats from the drama department to add to the fun!"

Featured Activity

Playing Card Maths

Playing Card Maths

Imagine you are on a desert island with nothing but a pack of playing cards. Do you have to stop learning mathematics? Of course not! Here are some great ideas for teachers, parents and tutors.


There are answers to this exercise but they are only available to teachers who have subscribed to Transum and are currently signed in on this computer.

A Transum subscription unlocks the answers to most of the student online exercises, quizzes and puzzles. It also provides the teacher with access to quality external links on each of the Transum topic pages so that teachers can easily find the excellent resources we have found and add to the collection themselves.

Class lists, lesson plans and assessment data can also be stored in the Class Admin application and the teacher also has access to the Transum Trophies earned by class members.

Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. Click here for more activities designed for students in upper Secondary/High school.

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.